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Finding the Fourth Proportional to 33,250, 49,875 and 16,834

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Solution

The fourth proportional to 33,250, 49,875 and 16,834 is: 25,251

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,250 : 49,875 = 16,834 : x
  2. Step 2: Convert to fraction form
    33,250/49,875 = 16,834/x
  3. Step 3: Cross multiply
    33,250x = 49,875 × 16,834
  4. Step 4: Simplify right side
    33,250x = 839,595,750
  5. Step 5: Solve for x
    x = 839,595,750/33,250
  6. Step 6: Final answer
    x = 25,251

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.